amayachism
amayachism amayachism
  • 25-06-2020
  • Mathematics
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what is the measure of angle 7?

what is the measure of angle 7 class=

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osikbro
osikbro osikbro
  • 25-06-2020

Answer:

95 degrees

Step-by-step explanation:

Because angles 1 and 4 are vertical angles, they must be congruent. Therefore:

[tex]3x+10=4x-15 \\\\10=x-15 \\\\x=25[/tex]

Since angle 7 is supplementary to either of these angles, you just need to find the angle measure of either of them and subtract it from 180.

[tex]\angle 1= 3x+10=3(25)+10=75+10=85[/tex]

Subtracting this from 180, you are left with 95 degrees. Hope this helps!

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